Some planar isospectral domains
Next: Introduction
Some planar isospectral domains
Peter Buser John Conway Peter Doyle
Klaus-Dieter Semmler
Version 1.0.1
15 September 1994
Abstract:
We give a number of examples of isospectral pairs of plane domains,
and a particularly simple method of proving isospectrality.
One of our examples
is a pair of domains that are not only isospectral but homophonic:
Each domain has a distinguished point such that
corresponding normalized Dirichlet eigenfunctions
take equal values at the distinguished points.
This shows that one really can't hear the shape of a drum.
Next: Introduction
Peter Doyle